Using formal asymptotics we demonstrate that in a low temperature coarsening limit, a degenerate Allen-Cahn/Cahn-Hilliard system yields a geometric problem in which small particles whose shape evolves according to surface diffusion move along a surface where the chemical potential is quasi-static, w
โฆ LIBER โฆ
Finite Element Approximation of a Degenerate Allen--Cahn/Cahn--Hilliard System
โ Scribed by Barrett, John W.; Blowey, James F.
- Book ID
- 118190277
- Publisher
- Society for Industrial and Applied Mathematics
- Year
- 2002
- Tongue
- English
- Weight
- 312 KB
- Volume
- 39
- Category
- Article
- ISSN
- 0036-1429
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This paper reports a fully discretized scheme for the Cahn-Hilliard equation. The method uses a convexity-splitting scheme to discretize in the temporal variable and a nonconforming finite element method to discretize in the spatial variable. And, the scheme can preserve the mass conservation and en